SOLUTION: <pre><b>Solve the following systems: 2x - y = 1 6y - 2x = 9</pre>

Algebra.Com
Question 43105: 
Solve the following systems: 

              2x -  y = 1
              6y - 2x = 9
Found 2 solutions by checkley71, AnlytcPhil:
Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
y=2x-1 then 6(2x-1)-2x=9 or 12x-6-2x=9 or 10x=15 or x=1.5 then y=2*2.5-1 or
y=5-1 or y=4
Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
Solve the following systems: 

              2x -  y = 1
              6y - 2x = 9

By substitution:

Solve the first for y:

               2x - y = 1
               2x - 1 = y
                    y = 2x - 1

Substitute (2x - 1) for y in the second:

              6y - 2x = 9
       6(2x - 1) - 2x = 9
        12x - 6  - 2x = 9
              10x - 6 = 9
                  10x = 15
                    x = 15/10
                    x = 3/2

Substitute 3/2 for x in y = 2x - 1
 
                    y = 2x - 1
                    y = 2(3/2) - 1
                    y = 3 - 1
                    y = 2

The solution is (x,y) = (3/2, 2)

Edwin
AnlytcPhil@aol.com

RELATED QUESTIONS

solve the system analytically: 
 
 x +  y +  z = 10
2x + 6y + 2z = 40
-x + 7y -... (answered by Edwin McCravy)

 solve for x
              
                    ________________________
          (answered by Alan3354)



   x        3               
—————— = - ———
 2x-1... (answered by Edwin McCravy)


Find the range:
y = 2x + 3    use {0, 1, 2, 3} as the... (answered by AnlytcPhil)

Solve the following systems of equations by The Substitution Method
2x+4y-6=0... (answered by Fombitz)

Solve the following 2 x 2 systems using substitutions
y= 2x +2
y= 1/2x +... (answered by elima)

Solve each of the following systems by graphing.

1.	2x – y = 4
      2x – y = 6

 (answered by jim_thompson5910)

Solve each of the following systems by graphing.
	2x – y = 4
	2x –y = 6
Solve each of... (answered by praseenakos@yahoo.com)

Solve the following systems by addition. 

2x - y = 1

- 2x + 3y= 5

please help... (answered by MathLover1)